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aleksandr82 [10.1K]
3 years ago
5

Combine like terms y+4+5(y+8)

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

Answer:

6y+44

Step-by-step explanation:

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Write a linear function with the values (-1,8) and (5,6)
valentina_108 [34]

Let the function be y = ax + c.

For (-1,8), 8 = a(-1) + c → 8 = - a + c

For (5,6), 6 = a(5) + c → 6 = 5a + c

Subtract one from abother,

2 = - 6a => - 1/3 = a

Hence, 8 = - 1/3 + c → 23/3 = c

Relation is:

y = (-1/3)x + (23/3)

3y = - x + 23

3y = 23 - x

8 0
3 years ago
Kevin wants to cover a rectangular floor that is 15 feet by
igor_vitrenko [27]

Answer: 50 square yards

Step-by-step explanation:

From the question, we are informed that Kevin wants to cover a rectangular floor that is 15 feet by 30 feet with carpeting.

The first thing to do is to convert the measurement that were given to yards. We should note that 1 yard = 3 feet

15 feet = 15/3 = 5 yards

30 feet = 30/3 = 10 yards

Area = 5 × 10 = 50 square yards

7 0
3 years ago
The 5 points plotted below are on the graph of y =b".
prohojiy [21]

Answer:

Here

Step-by-step explanation:

3 0
3 years ago
The volume of one of the Great Lakes is 3.5 × 103 cubic kilometers. If there are 6.3 × 107 fish in the lake, what is the average
Serjik [45]
The answer is 1.8 x 10^4, which is B
3 0
3 years ago
Read 2 more answers
The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Legacy
faust18 [17]

Answer:

The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Test that the residents use less water.

At the null hypothesis, we test that the mean is 69, that is:

H_0: \mu = 69

At the alternate hypothesis, we test that the mean is less than 69, that is:

H_a: \mu < 69

The test statistic is:

As we have the standard deviation for the sample, we use the t-statistic.

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

69 is tested at the null hypothesis:

This means that \mu = 69

Thirty-six owners responded, and the sample mean water use per day was 64 gallons with a standard deviation of 8.8 gallons per day.

This means that n = 36, X = 64, s = 8.8

Value of the test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{64 - 69}{\frac{8.8}{\sqrt{36}}}

t = -3.41

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean less than 64, which is the pvalue of t = -3.41, found on the t-table with 36 - 1 = 35 degrees of freedom on a one-tailed test.

With calculator help, the pvalue is 0.0083.

The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average

8 0
3 years ago
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